If $391$ is divided into three parts proportional to $\dfrac{1}{2}$ : $\dfrac{2}{3} : 3$ , then the first part is

To compare the fractional ratios using the least common multiple, convert the given parts by multiplying by 6 to get the ratio 3:4:18. The total number of parts is 3 plus 4 plus 18, which equals 25, and the value of one part is 391 divided by 25, yielding 15.64. The first part is 3 times 15.64, which is 46.92, an amount not listed among the options. The correct result is None of these.

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